What is 75/24 Divided By 4/7

Solving $\frac{75}{24}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{24} \div \frac{4}{7} = \frac{75}{24} \times \frac{7}{4}$

• Multiply the Numerators: $75 \times 7 = 525$
• Multiply the Denominators: $24 \times 4 = 96$
• Form the New Fraction: $\frac{75}{24} \times \frac{4}{7} = \frac{525}{96}$

Let's Simplify $\frac{525}{96}$

• Find the Greatest Common Divisor (GCD) of $525$ and $96$. The GCD of $525$ and $96$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{525 \div 3}{96 \div 3} = \frac{175}{32}$

Answer $\frac{75}{24}\div\frac{4}{7} = \frac{175}{32}$

The following animation demonstrates the divide-by,